Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022o |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
19731712 = 28 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-349,2355] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:76:1] [-1:52:1] |
Generators of the group modulo torsion |
j |
38859069337/163072 |
j-invariant |
L |
8.2866947142437 |
L(r)(E,1)/r! |
Ω |
2.176564386191 |
Real period |
R |
0.23795226225611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022f1 |
Quadratic twists by: -11 |